Calculate population and sample standard deviation with step-by-step breakdown
Paste any list of numbers — commas, spaces, or one per line all work.
Enter a list of numbers separated by commas, spaces, or newlines. The calculator computes both population standard deviation (σ) and sample standard deviation (s), along with variance, mean, and count. Switch between population and sample mode using the toggle. The step-by-step table shows each value, its deviation from the mean, and the squared deviation — so you can verify every calculation manually. Useful for statistics homework, quality control, and data analysis. Example: entering 2, 4, 4, 4, 5, 5, 7, 9 gives population σ = 2 and mean = 5.